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Finding the Fourth Proportional to 951.86, 1,427.70 and 586.46

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Solution

The fourth proportional to 951.86, 1,427.70 and 586.46 is: 879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.86 : 1,427.70 = 586.46 : x
  2. Step 2: Convert to fraction form
    951.86/1,427.70 = 586.46/x
  3. Step 3: Cross multiply
    951.86x = 1,427.70 × 586.46
  4. Step 4: Simplify right side
    951.86x = 837,288.94
  5. Step 5: Solve for x
    x = 837,288.94/951.86
  6. Step 6: Final answer
    x = 879.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.